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Finding the Fourth Proportional to 542,691.31, 748,958.86 and 301,051.79

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Solution

The fourth proportional to 542,691.31, 748,958.86 and 301,051.79 is: 415,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,691.31 : 748,958.86 = 301,051.79 : x
  2. Step 2: Convert to fraction form
    542,691.31/748,958.86 = 301,051.79/x
  3. Step 3: Cross multiply
    542,691.31x = 748,958.86 × 301,051.79
  4. Step 4: Simplify right side
    542,691.31x = 225,475,403,934.10
  5. Step 5: Solve for x
    x = 225,475,403,934.10/542,691.31
  6. Step 6: Final answer
    x = 415,476.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.